Fast-forward of adiabatic dynamics in quantum mechanics

Shumpei Masuda*, Katsuhiro Nakamura

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

We propose a method to accelerate adiabatic dynamics of wave functions (WFs) in quantum mechanics to obtain a final adiabatic state except for the spatially uniform phase in any desired short time. In our previous work, acceleration of the dynamics of WFs was shown to obtain the final state in any short time by applying driving potential. We develop the previous theory of fast-forward to derive a driving potential for the fast-forward of adiabatic dynamics. A typical example is the fast-forward of adiabatic transport of a WF, which is the ideal transport in the sense that a stationary WF is transported to an aimed position in any desired short time without leaving any disturbance at the final time of the fast-forward. As other important examples, we show accelerated manipulations of WFs, such as their splitting and squeezing. The theory is also applicable to macroscopic quantum mechanics described by the nonlinear Schrodinger equation.

Original languageEnglish
Pages (from-to)1135-1154
Number of pages20
JournalPROCEEDINGS OF THE ROYAL SOCIETY A: MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume466
Issue number2116
DOIs
Publication statusPublished - 8 Apr 2010
MoE publication typeA1 Journal article-refereed

Keywords

  • atom manipulation
  • mechanical control of atoms
  • quantum transport
  • PHASE
  • TRANSITIONS
  • EVOLUTION

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